Pimsner algebras and Gysin sequences from principal circle actions
| dc.contributor.advisor | ||
| dc.contributor.area | Mathematics | en_US |
| dc.contributor.author | Arici, Francesca | |
| dc.contributor.author | Kaad, Jens | |
| dc.contributor.author | Landi, Giovanni | |
| dc.date.accessioned | 2015-04-03T10:14:27Z | |
| dc.date.available | 2015-04-03T10:14:27Z | |
| dc.date.issued | 2014-03-03 | |
| dc.description | The preprint is composed of 30 pages and recorded in PDF format. Was published in arXiv | en_US |
| dc.description.abstract | A self Morita equivalence over an algebra B, given by a B-bimodule E, is thought of as a line bundle over B. The corresponding Pimsner algebra O_E is then the total space algebra of a noncommutative principal circle bundle over B. A natural Gysin-like sequence relates the KK-theories of O_E and of B. Interesting examples come from O_E a quantum lens space over B a quantum weighted projective line (with arbitrary weights). The KK-theory of these spaces is explicitly computed and natural generators are exhibited. | en_US |
| dc.identifier.arXiv | 1409.5335 | |
| dc.identifier.uri | https://openscience.sissa.it/handle/1963/34461 | |
| dc.miur.area | 1 | en_US |
| dc.subject.miur | MAT/07 | en_US |
| dc.title | Pimsner algebras and Gysin sequences from principal circle actions | en_US |
| dc.type | Preprint | en_US |